Gyroid infill - automatic discretization steps and refactoring
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@ -9,77 +9,125 @@
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namespace Slic3r {
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namespace Slic3r {
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static inline Polyline make_wave_vertical(
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double width, double height, double x0,
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static inline double f(double x, double z_sin, double z_cos, bool vertical, bool flip) {
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double segmentSize, double scaleFactor,
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if (vertical) {
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double z_cos, double z_sin, bool flip)
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double phase_offset = (z_cos < 0 ? M_PI : 0) + M_PI;
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{
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double a = sin(x + phase_offset);
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Polyline polyline;
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polyline.points.emplace_back(Point(coord_t(clamp(0., width, x0) * scaleFactor), 0));
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double phase_offset_sin = (z_cos < 0 ? M_PI : 0) + M_PI;
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double phase_offset_cos = (z_cos < 0 ? M_PI : 0) + M_PI + (flip ? M_PI : 0.);
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for (double y = 0.; y < height + segmentSize; y += segmentSize) {
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y = std::min(y, height);
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double a = sin(y + phase_offset_sin);
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double b = - z_cos;
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double b = - z_cos;
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double res = z_sin * cos(y + phase_offset_cos);
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double res = z_sin * cos(x + phase_offset + (flip ? M_PI : 0.));
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double r = sqrt(sqr(a) + sqr(b));
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double r = sqrt(sqr(a) + sqr(b));
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double x = clamp(0., width, asin(a/r) + asin(res/r) + M_PI + x0);
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return asin(a/r) + asin(res/r) + M_PI;
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polyline.points.emplace_back(convert_to<Point>(Pointf(x, y) * scaleFactor));
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}
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}
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if (flip)
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else {
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std::reverse(polyline.points.begin(), polyline.points.end());
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double phase_offset = z_sin < 0 ? M_PI : 0.;
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double a = cos(x + phase_offset);
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double b = - z_sin;
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double res = z_cos * sin(x + phase_offset + (flip ? 0 : M_PI));
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double r = sqrt(sqr(a) + sqr(b));
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return (asin(a/r) + asin(res/r) + 0.5 * M_PI);
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}
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}
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static inline Polyline make_wave(
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const std::vector<Pointf>& one_period, double width, double height, double offset, double scaleFactor,
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double z_cos, double z_sin, bool vertical)
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{
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std::vector<Pointf> points = one_period;
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double period = points.back().x;
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points.pop_back();
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int n = points.size();
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do {
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points.emplace_back(Pointf(points[points.size()-n].x + period, points[points.size()-n].y));
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} while (points.back().x < width);
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points.back().x = width;
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// and construct the final polyline to return:
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Polyline polyline;
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for (auto& point : points) {
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point.y += offset;
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point.y = clamp(0., height, double(point.y));
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if (vertical)
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std::swap(point.x, point.y);
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polyline.points.emplace_back(convert_to<Point>(point * scaleFactor));
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}
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return polyline;
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return polyline;
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}
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}
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static inline Polyline make_wave_horizontal(
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double width, double height, double y0,
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static std::vector<Pointf> make_one_period(double width, double scaleFactor, double z_cos, double z_sin, bool vertical, bool flip) {
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double segmentSize, double scaleFactor,
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std::vector<Pointf> points;
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double z_cos, double z_sin, bool flip)
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double dx = M_PI_4; // very coarse spacing to begin with
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{
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double limit = std::min(2*M_PI, width);
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Polyline polyline;
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for (double x = 0.; x < limit + EPSILON; x += dx) { // so the last point is there too
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polyline.points.emplace_back(Point(0, coord_t(clamp(0., height, y0) * scaleFactor)));
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x = std::min(x, limit);
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double phase_offset_sin = (z_sin < 0 ? M_PI : 0) + (flip ? 0 : M_PI);
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points.emplace_back(Pointf(x,f(x, z_sin,z_cos, vertical, flip)));
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double phase_offset_cos = z_sin < 0 ? M_PI : 0.;
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for (double x = 0.; x < width + segmentSize; x += segmentSize) {
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x = std::min(x, width);
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double a = cos(x + phase_offset_cos);
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double b = - z_sin;
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double res = z_cos * sin(x + phase_offset_sin);
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double r = sqrt(sqr(a) + sqr(b));
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double y = clamp(0., height, asin(a/r) + asin(res/r) + 0.5 * M_PI + y0);
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polyline.points.emplace_back(convert_to<Point>(Pointf(x, y) * scaleFactor));
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}
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}
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if (flip)
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std::reverse(polyline.points.begin(), polyline.points.end());
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// now we will check all internal points and in case some are too far from the line connecting its neighbours,
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return polyline;
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// we will add one more point on each side:
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const double tolerance = .1;
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for (unsigned int i=1;i<points.size()-1;++i) {
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auto& lp = points[i-1]; // left point
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auto& tp = points[i]; // this point
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auto& rp = points[i+1]; // right point
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// calculate distance of the point to the line:
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double dist_mm = unscale(scaleFactor * std::abs( (rp.y - lp.y)*tp.x + (lp.x - rp.x)*tp.y + (rp.x*lp.y - rp.y*lp.x) ) / std::hypot((rp.y - lp.y),(lp.x - rp.x)));
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if (dist_mm > tolerance) { // if the difference from straight line is more than this
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double x = 0.5f * (points[i-1].x + points[i].x);
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points.emplace_back(Pointf(x, f(x, z_sin, z_cos, vertical, flip)));
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x = 0.5f * (points[i+1].x + points[i].x);
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points.emplace_back(Pointf(x, f(x, z_sin, z_cos, vertical, flip)));
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std::sort(points.begin(), points.end()); // we added the points to the end, but need them all in order
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--i; // decrement i so we also check the first newly added point
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}
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}
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}
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return points;
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}
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static Polylines make_gyroid_waves(double gridZ, double density_adjusted, double line_spacing, double width, double height)
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static Polylines make_gyroid_waves(double gridZ, double density_adjusted, double line_spacing, double width, double height)
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{
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{
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double scaleFactor = scale_(line_spacing) / density_adjusted;
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const double scaleFactor = scale_(line_spacing) / density_adjusted;
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double segmentSize = 0.5 * density_adjusted;
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//scale factor for 5% : 8 712 388
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//scale factor for 5% : 8 712 388
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// 1z = 10^-6 mm ?
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// 1z = 10^-6 mm ?
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double z = gridZ / scaleFactor;
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const double z = gridZ / scaleFactor;
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double z_sin = sin(z);
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const double z_sin = sin(z);
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double z_cos = cos(z);
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const double z_cos = cos(z);
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Polylines result;
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if (abs(z_sin) <= abs(z_cos)) {
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bool vertical = (std::abs(z_sin) <= std::abs(z_cos));
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// Vertical wave
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double lower_bound = 0.;
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double x0 = M_PI * (int)((- 0.5 * M_PI) / M_PI - 1.);
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double upper_bound = height;
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bool flip = ((int)(x0 / M_PI + 1.) & 1) != 0;
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for (; x0 < width - 0.5 * M_PI; x0 += M_PI, flip = ! flip)
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result.emplace_back(make_wave_vertical(width, height, x0, segmentSize, scaleFactor, z_cos, z_sin, flip));
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} else {
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// Horizontal wave
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bool flip = true;
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bool flip = true;
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for (double y0 = 0.; y0 < height; y0 += M_PI, flip = !flip)
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if (vertical) {
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result.emplace_back(make_wave_horizontal(width, height, y0, segmentSize, scaleFactor, z_cos, z_sin, flip));
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flip = false;
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lower_bound = -M_PI;
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upper_bound = width - M_PI_2;
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std::swap(width,height);
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}
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}
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std::vector<Pointf> one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // creates one period of the waves, so it doesn't have to be recalculated all the time
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Polylines result;
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for (double y0 = lower_bound; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates odd polylines
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result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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flip = !flip; // even polylines are a bit shifted
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one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // updates the one period sample
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for (double y0 = lower_bound + M_PI; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates even polylines
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result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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return result;
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return result;
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}
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}
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void FillGyroid::_fill_surface_single(
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void FillGyroid::_fill_surface_single(
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const FillParams ¶ms,
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const FillParams ¶ms,
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unsigned int thickness_layers,
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unsigned int thickness_layers,
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@ -90,7 +138,9 @@ void FillGyroid::_fill_surface_single(
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// no rotation is supported for this infill pattern (yet)
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// no rotation is supported for this infill pattern (yet)
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BoundingBox bb = expolygon.contour.bounding_box();
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BoundingBox bb = expolygon.contour.bounding_box();
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// Density adjusted to have a good %of weight.
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// Density adjusted to have a good %of weight.
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double density_adjusted = params.density * 1.75;
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double density_adjusted = std::max(0., params.density * 2.);
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// Distance between the gyroid waves in scaled coordinates.
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// Distance between the gyroid waves in scaled coordinates.
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coord_t distance = coord_t(scale_(this->spacing) / density_adjusted);
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coord_t distance = coord_t(scale_(this->spacing) / density_adjusted);
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